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Finding the Fourth Proportional to 803.12, 1,106.87 and 646.38

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Solution

The fourth proportional to 803.12, 1,106.87 and 646.38 is: 890.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.12 : 1,106.87 = 646.38 : x
  2. Step 2: Convert to fraction form
    803.12/1,106.87 = 646.38/x
  3. Step 3: Cross multiply
    803.12x = 1,106.87 × 646.38
  4. Step 4: Simplify right side
    803.12x = 715,455.40
  5. Step 5: Solve for x
    x = 715,455.40/803.12
  6. Step 6: Final answer
    x = 890.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.